Title : MOTIONS OF A LIQUID IN A PULSATING BULB WITH APPLICATION TO PROBLEMS OF BLOOD FLOW.

Descriptive Note : Research rept.,

Corporate Author : AVCO EVERETT RESEARCH LAB EVERETT MASS

Personal Author(s) : Jones,Robert T.

Report Date : DEC 1965

Pagination or Media Count : 20

Abstract : Potential flows of the form phi = (ax sq. + by sq. + cz sq.) f(t) may be utilized to represent motions produced in pulsating bulbs. While the initial bulb shape may be arbitrary, sequential shapes are related by affine transformations. Two components appear in the distribution of pressure, one dependent on the instantaneous velocity and the other on the acceleration. Since he flows have stationary streamlines their inertial impedance is that of a simple mass, and is proportional to the first moment of the actual mass of fluid contained within the bulb. Examples treated are: (1) expanding and collapsing circular cylinders and (2) elliptical cylinders in which the periometer is held constant. The thickness of the pulsatile laminar boundary layer is found to be approximately one millimeter for conditions in the vicinity of the heart. Conditions for separation and turbulence probably differ from those in steady flow.